# Energy eigenfunctions for position-dependent mass particles in a new class of molecular Hamiltonians

@article{Christiansen2014EnergyEF,
title={Energy eigenfunctions for position-dependent mass particles in a new class of molecular Hamiltonians},
author={Hugo R. Christiansen and Margarida S. Cunha},
journal={Journal of Mathematical Physics},
year={2014},
volume={55},
pages={092102}
}
• Published 3 March 2014
• Physics
• Journal of Mathematical Physics
Based on recent results on quasi-exactly solvable Schrodinger equations, we review a new phenomenological potential class lately reported. In the present paper, we consider the quantum differential equations resulting from position-dependent mass (PDM) particles. We first focus on the PDM version of the hyperbolic potential V(x) = asech2x + bsech4x, which we address analytically with no restrictioon the parameters and the energies. This is the celebrated Manning potential, a double-well widely…
13 Citations

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